R. Leandre et Ss. Roan, A STOCHASTIC APPROACH TO THE EULER-POINCARE NUMBER OF THE LOOP SPACE OF A DEVELOPABLE ORBIFOLD, Journal of geometry and physics, 16(1), 1995, pp. 71-98
We define a regularised version of the de Rham operator over the free
loop space. We perform a semi-classical approximation of it, such that
the index of the limit operator is equal to the ''orbit Euler charact
eristic'' of physicists.